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1422021120 = 29351314243
BaseRepresentation
bin101010011000010…
…0101001000000000
310200002210011020220
41110300211020000
510403014133440
6353034503040
750144660112
oct12460451000
93602704226
101422021120
1166a76a573
12338294a80
131987bbb20
14d6c053b2
1584c948d0
hex54c25200

1422021120 has 160 divisors (see below), whose sum is σ = 4896061632. Its totient is φ = 350011392.

The previous prime is 1422021109. The next prime is 1422021179. The reversal of 1422021120 is 211202241.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1422021120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92719 + ... + 106961.

Almost surely, 21422021120 is an apocalyptic number.

1422021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448030816).

1422021120 is an abundant number, since it is smaller than the sum of its proper divisors (3474040512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1422021120 is a wasteful number, since it uses less digits than its factorization.

1422021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282 (or 14266 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1422021120 is about 37709.6953050538. The cubic root of 1422021120 is about 1124.5238795132.

Adding to 1422021120 its reverse (211202241), we get a palindrome (1633223361).

It can be divided in two parts, 1422021 and 120, that added together give a triangular number (1422141 = T1686).

The spelling of 1422021120 in words is "one billion, four hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 14243 16640 19968 24960 28486 33280 42729 49920 56972 71215 85458 99840 113944 142430 170916 185159 213645 227888 284860 341832 370318 427290 455776 555477 569720 683664 740636 854580 911552 925795 1110954 1139440 1367328 1481272 1709160 1823104 1851590 2221908 2278880 2734656 2777385 2962544 3418320 3646208 3703180 4443816 4557760 5469312 5554770 5925088 6836640 7292416 7406360 8887632 9115520 10938624 11109540 11850176 13673280 14812720 17775264 18231040 21877248 22219080 23700352 27346560 29625440 35550528 36462080 44438160 47400704 54693120 59250880 71101056 88876320 94801408 109386240 118501760 142202112 177752640 237003520 284404224 355505280 474007040 711010560 1422021120